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Finding the Fourth Proportional to 2,055.56, 3,083.67 and 669.24

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Solution

The fourth proportional to 2,055.56, 3,083.67 and 669.24 is: 1,003.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.56 : 3,083.67 = 669.24 : x
  2. Step 2: Convert to fraction form
    2,055.56/3,083.67 = 669.24/x
  3. Step 3: Cross multiply
    2,055.56x = 3,083.67 × 669.24
  4. Step 4: Simplify right side
    2,055.56x = 2,063,715.31
  5. Step 5: Solve for x
    x = 2,063,715.31/2,055.56
  6. Step 6: Final answer
    x = 1,003.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.